The ball will continue to advance at a speed of 2.0 m/s once it rolls off the edge of the table until it lands on the ground after 0.45 seconds.
Why do we do it?The ball is behaving just like it has been dropped. Nature is unconcerned by the fact that it is also advancing.
D=1/2gt2 and T=√2d/g
By entering the table's height and the gravitational acceleration, we can calculate the time in seconds:
t= √2(1.5m)/9.8m⋅s−2 = 0.553s
So, for a little bit longer than a half-second, the ball will be in the air (and thus able to move ahead). To find the distance travelled, we simply reverse the speed equation, s=dt, and insert in the speed and time:
d= 20m/s(0.553s)= 1.11m
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10. A stone falls freely from the top of a tower 250.0 m above the ground. Calculate its
velocity half-way through the fall. [g=10.0 ms 2]
Answer:
50 m/s
Explanation:
Half of its Potential Energy (mgh) will have been converted to Kinetic Energy ( 1/2 mv^2)
1/2 mgh = 1/2 mv^2
gh = v^2
10(250) = v ^2 v = 50 m/s
The velocity of the stone halfway through the fall will be approximately 50.0 m/s.
To calculate the velocity of the stone halfway through its fall, we can use the kinematic equation for free fall
v² = u² + 2as
Where:
v is the final velocity,
u is the initial velocity,
a is the acceleration due to gravity (g),
and s is the distance fallen.
Given that the stone falls freely, the initial velocity u is 0 since it starts from rest.
The distance fallen halfway through the fall can be calculated by dividing the total distance fallen by 2.
s = 250.0 m / 2 = 125.0 m
Plugging these values into equation, now we solve for v:
v² = 0² + 2 × 10.0 m/s² × 125.0 m
v² = 0 + 2500 m²/s²
Taking the square root of both sides to find v:
v ≈ √2500 m²/s²
v ≈ 50.0 m/s
Therefore, the velocity of the stone halfway through the fall is approximately 50.0 m/s.
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a prescription for corrective lenses reads -5 d for each lens. these corrective lenses are group of answer choices diverging with focal length equal to 20 cm. diverging with focal length equal to 5 m. diverging with focal length equal to 5 cm. converging with focal length equal to 5 cm. converging with focal length equal to 5 m. converging with focal length equal to 20 m.
These corrective lenses have a 20 cm focal length and are diverging.
P=1/(f(m)) and "hence P= 1/(0.2)=10/2" and "therefore P=5 D" indicate that the lens has a 5 dioptre power.
What is a diverging lens?A lens that, after exiting the lens, produces parallel light beams to spread out and deviate from the optical axis.A lens that, as from a virtual image, produces a beam of parallel rays to diverge after refraction; a lens with a negative focal length.By extending the traces of the light rays traveling through the lens to a focal point behind the lens, negative lenses diverge parallel incident light beams to create an illusion of an image. These lenses typically feature at least one concave surface and are thinner in the middle than they are on the edges. When passing through a concave lens, light rays parallel to the principal axis appear to diverge from a point on the principal axis.To learn more about diverging lens refer to:
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what is the de broglie wavelength (in meters) of a 148 g baseball thrown at a velocity of 35.1 meters per second?
The de-Broglie wavelength of the baseball is 1.27×10⁻²⁵nm
λ=h/m
h is the Planck Constant =6.63×10⁻³⁴Js
m = mass = 148×10⁻³
=0.148kg
v= velocity =35.1m/s
λ=6.63×10⁻³⁴/0.148×35.1
λ=1.27×10⁻³⁴m
λ=1.27×10⁻²⁵nm
When learning about quantum mechanics, the de Broglie wavelength is a crucial idea. De Broglie wavelength is the wavelength that is connected to an object in relation to its momentum and mass. Typically, a particle's force and de Broglie wavelength are inversely related.
Some people believe that matter has both a wave- and a particle-like nature. De Broglie wavelength, so named after the discoverer Louis de Broglie, are the characteristics of a physical object that fluctuate in time or space while acting like waves. Matter waves are another name for it. It is strikingly reminiscent of the experimentally demonstrated dual nature of light, which exhibits both particle and wave behavior.
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the product of a force and the perpendicular distance from the force's line of action to the axis of rotation is known as
The product of a force and the perpendicular distance from the force's line of action to the axis of rotation is known as Torque.
Torque or moment of the force is the term used to describe a force's ability to turn.
The moment arm is the length that separates the line of action perpendicular to the axis of rotation. Torque is a mathematical combination of force F and moment arm L. Torque is equal to F times L. The moment arm affects torque. The torque will create more of an increase the longer the moment arm.
The line of action of a force is the path it travels when exerting its power.
The moment arm of the force is the length that separates the force's path of action from its axis of rotation perpendicularly.
The newton meter is the torque SI unit (Nm). A force of 1 N operating perpendicular to the moment arm's length of 1 m produces a torque of 1 N m.
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If a car, with an initial velocity of 15 m/s, accelerates at a rate of 5 m/s^2 for 4 seconds, what will its final velocity be?
Answer:
35 m/s
Explanation:
vf = vo + at
vf = 15 + 5(4) = 35 m/s
in a collision between two unequal masses, how does the impulse imparted to the smaller mass by the larger mass compare with the impulse imparted to the larger mass by the smaller one? 3) a) they are equal. b) it is larger. c) it is smaller. d) the answer depends on the ratio of the masses. e) the answer depends on how fast they are moving
In a collision between two unequal masses, the smaller mass by the larger mass compare with the impulse imparted to the larger mass by the smaller one they are equal.
Any incident where two or more bodies exert forces on each other quickly is referred to as a collision in physics. In physics, collision, which is also known as impact, is the abrupt, forceful coming together in close proximity of two bodies, such as, for instance, two pool balls, a golf club and a ball, a hammer and a nail head, two railroad cars when coupled, or a falling object and a floor. In physics, a collision occurs when particles, aggregates of particles, or solid bodies move in the same direction and get close enough to each other to interact and have an impact on one another. Distracted driving is the most frequent reason for an auto accident. Speeding, disobeying traffic signs, making improper turns, and driving while intoxicated or drugged-up are additional risk factors for car accidents.
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is training for cross country in the fall she ran 5 miles east then she turned and ran 5 miles west. draw and label the vectors that show each segment of her tripand the resulant dispacement vector. find her resulant displacement
5j-5i is her resultant displacement.
velocity in east= 5i
velocity in west=5j
resultant magnitude=√5i+√5j
displacement =5j-5i
Displacement is the shortest distance, but distance is the length of everything covered. A vector quantity with a magnitude and a direction is displacement. The vector (or straight line) separation between an initial and final position is described by this term. Therefore, all that is needed to determine the resulting displacement is to know these two positions.
Calculate the inverse tangent of the ratio of the components of the displacement in the y- and x-directions to find the direction of the displacement vector.
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A thick magnetic disk made of aluminum platters. Uses read/write heads to access data stored on the platters.
A thick magnetic disk made of aluminum platters and It uses read/write heads to access data stored on the platters, that is correct statement.
Hard disk drives are thick magnetic disks made of aluminum platters, They use read/write heads to access data stored on the platters. They have up to several TB in storage capacity and their cost per MB is cheap. Solid state drive is a flash device with storage capacity similar to a small hard drive.
For operation point of view, Hard disk drives are bit slower than solid state drive are faster. so using a solid state drives devices are booted up fast. In case of price point of view, SSD devices are more costly than HDD.
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A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T.
What is the average power input to the wheel during this time interval (hint: power = work / time)?
A:[tex]\frac{I^{2}\omega_{f} }{2T^{2} }[/tex]
B: [tex]\frac{I\omega^{2}_{f} }{2T^{2} }[/tex]
C: [tex]\frac{I\omega_{f}} {2T}[/tex]
D: [tex]\frac{I\omega^{2}_{f} }{2T}[/tex]
The average power input to the wheel during this time interval is (Iω²) / (2T).
option D is the correct answer
What is average power?The average power input to the wheel during this time interval is the rate at which work is done by the wheel or the rate at which energy is expended.
Mathematically, the formula for average power is given as;
P = energy / time
Based on work - energy theorem,
work done by the wheel = change in energy of the wheel
Energy of the wheel due to the rotational torque is given as;
E = ¹/₂Iω²
where;
I is the moment of inertia of the wheelω is the angular speed of the wheelPower = E/T
power = (Iω²) / (2T)
where;
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NEED HELP ASAP
What is the acceleration due to gravity on the surface of the planet Pluto if its mass is 1.2 x 10 22 kg and radius is 1.14 x 10 6 m?
9.8 m/s2
6.4 m/s2
0.62 m/s2
0.34 m/s2
The acceleration due to gravity on the surface of planet Pluto is 0.62 m/s²
How to determine the acceleration due to gravityFrom the Newton's law of universal gravity, the acceleration due to gravity is given by:
g = GM / R²
Where
g is acceleration due to gravity M is the mass G is the gravitational constantR is the radius.With the above formula, we can obtain the acceleration due to gravity. Details below
Mass of planet (M) = 1.2×10²² KgRadius (R) = 1.14×10⁶ mGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Acceleration due to gravity (g) =?g = GM / R²
g = (6.67×10¯¹¹ × 1.2×10²²) / (1.14×10⁶)²
g = 0.62 m/s²
Thus, the acceleration due to gravity is 0.62 m/s²
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Sound cannot travel without medium write on the basis of the following points (materials required) (procedure) (conclusion
Explanation:
Because it is a mechanical wave and it need material medium to travel through it.
the system produces 80,176 watts, what is the energy worth per day? assume electricity costs of $0.08 per kwh
Electricity costs of the system at $0.08 per kwh for a day is $153.9
What is power?Power refers to the rate of work. It is work done per unit of time. The SI unit for power is the watt (W), which is the joule per second (J/s).
Power = Work / time
P = W / t
One kilowatt hour is said to be one thousand watts sustained for one hour i.e. KWh = (Watts × Hours) ÷ 1,000
For the given case,
Power = 80,176 watts
Rate = $0.08 per kwh
kWh = (watts × hrs) ÷ 1,000
kWh = (80,176 × 24)
= 1924.224 kWh
Total cost of the day is = 1924.224 × 0.08
= $ 153.9
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an obstruction is just ahead on the shoulder. your front wheel leaves the roadway at high speed. when do you countersteer?
An obstruction is just ahead on the shoulder. Your front wheel leaves the roadway at a high speed. You countersteer when the front tire touches the roadway.
Countersteer is usually done by the cyclists and motorcyclists to turn at higher speeds. It is advisable to be done only on the race tracks. This is because the two wheels do not follow the same path during turning and it may affect other vehicles on normal roads. The rider must be leaned in the direction of turn in order to complete the turn. As the front wheel leaves at a higher speed, countersteering is done when the front wheel touches the ground.
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If a ring particle survived for the age of the solar system, how many collisions would it undergo?.
Answer:
The answer is near 8 trillion
Explanation:
I hope this helps
forces and newton’s laws 3.1 Essential Questions How are force and motion related?
According to Newton's law of motion, the direction of motion of an object depends on the direction of the applied force.
What is Newton's first law of motion?
Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force and it will move in the direction of the applied force.
The Newton's first law of motion is also called the law of inertia because it depends on the mass of the object. The more massive an object is, the more inertia the object will possess and vice versa.
Also, the Newton's second law of motion states that the force acting on an object is directly proportional to the product of mass and acceleration of the object.
Mathematically, Newton's second law of motion is given as;
F = ma
F = mv/t
Ft = mv
This law (Newton's second law of motion) is also states that the force applied on an object directly proportional to the rate of change of momentum of the object.
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how much work must be done by an external force on an object (sliding over a frictionless, horizontal surface) to accelerate the object from a speed vv to a speed 2v2v?
Using the concepts of work, we got that we need to work three times of the previous work to accelerate the object from a speed v to a speed 2v.
We know that to change the velocity of any object we need to do some work on it.
When an object having some mass m moving with velocity v, then the kinetic energy stored in that object is given by(KE₁) =(1/2)mv².
Now, When an object having some mass m moving with velocity 2v,then the kinetic energy stored in that object is given by(KE₂) =(1/2)m(2v)².
New kinetic energy is =4[(1/2)mv²] or 4KE₁
So, net work to accelerate the object is =KE₂-KE₁
W=4KE₁-KE₁=3KE₁.
Hence, the amount of work must be done by an external force on an object (sliding over a frictionless, horizontal surface) to accelerate the object from a speed v to a speed 2v is 3 times the energy stored on a object.
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a constriction in a pipe reduces its diameter from 6.5cm to 2.7cm. where the pipe is wider, the fluid velocity is 8m/s. find the fluid velocity where the pipe is narrow. answer in units of m/s
The velocity of the fluid where the pipe is narrow s 46.36m/s.
The diameter of the larger end of the constriction pipe is 6.5 cm and the diameter of the narrow end of the pipe is 2.7cm.
According to equation of continuity, the volume of the fluid incoming is equal to the volume of the fluid outgoing.
So, we can write,
A₁V₁ = A₂V₂
A₁ and V₁ are the area and speed at the larger end and A₂ and V₂ are area and speed at the narrow end.
Putting values,
π(6.5/2)².8 = π(2.7/2)².V
V = 46.36m/s
The velocity of the fluid where the pipe is narrow is 46.36m/s.
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according to the color code, the number of pairs of conductors in a cable that can be defined without repeating a color combination is?
According to the color code, the number of pairs of conductors in a cable that can be defined without repeating a color combination is 25 pairs
To identify individual conductors in a telecommunications twisted pair cable the 25-pair color code is used. These colours are marked on the conductor's insulation. The primary colours are white, red, black, yellow and violet. The secondary colours are blue, orange, green, brown and slate.
The primary colours are called as tip which is positive and the secondary colours are called as ring which is negative. In the pair only one colour from each group should be used. So the possible combinations are 25 pairs.
Therefore, according to the color code, the number of pairs of conductors in a cable that can be defined without repeating a color combination is 25 pairs
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you pull a box with a constant force of 250 n. the box moves 10 m along a straight path on a rough surface at a constant speed. how much thermal energy is generated in the system of the box and the rough surface?
The thermal energy of the box which is pulled with a force of 250 N to a distance of 10 meters is 2500 J
The force to pull the box = 250 N
The box is moved to a distance of 10 meters
The thermal energy can be found using the formula,
W = F x d
where W is the thermal energy
F is the Force
d is the distance moved
Let us substitute the known values in the above equation, we get
W = 250 x 10
= 2500 J
Therefore, the thermal energy of the box is 2500 J
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Describe what is happening to the pressure and volume of the gas in the two diagrams below, assuming that the temperature of the gas does not change.
The pressure is increasing and accordingly the volume of the gas is decreasing when the temperature of the gas does not changes.
Continuous physical force acting on an object is termed as pressure.
Space occupied by any substance is termed as its volume.
As we know pressure and volume are inversely proportional to each other, this means that if the temperature and amount of any gas in a container is kept constant then the increase in pressure of the gas will cause decrease in the volume of the same gas in the container.
Pressure (P) ∝ [tex]\frac{1}{Volume (V)}[/tex]
When sign of proportionality '∝' is removed constant 'k' is added to the equation
i.e. P = [tex]\frac{k}{V}[/tex]
PV = k
So the given picture clearly depicts that the piston is creating pressure on the gas hence the pressure of the gas is increasing and therefore the volume of the gas is decreasing.
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If the gravity of the moon is 1/6 of Earth’s gravity, what is the mass of an object that has a weight of 115N on the moon? a)89 b)71.9 c)30.2 d)20
it's 115/6 which is 19.1667
Explanation:
The weight would be 115/6 because the moon has one sixth of the gravity on earth so the weight would be on sixth of that on earth.
a flight attendant pulls her 2 kg flight bag a distance of 23 m along a level airport floor at a constant velocity. the force she exerts is 8 n at an angle of 30 degrees above the horizontal. find the work she does on the flight bag.
Work done on the flight bag will be 182.20 J.
Work done defined as the product of force and distance covered due to applied force.
The mass of flight bag m = 2 kg
Therefore the weight of the bag will be 2*g = 2*10 = 20 N
(g = acceleration due to gravity = 9.81 m/s2)
The distance covered by the bag is, d = 23 m.
The magnitude of force exerted on bag is, F = 8 N.
The angle of inclination with horizontal = [tex]\alpha[/tex] = 8°
The work done on the flight bag is given by the equation:
W = F * d *Cos [tex]\alpha[/tex]
W = 8 * 23 * Cos8
W = 182.20 J
Thus, the work done by the attendant on the flight bag is 182.20 J.
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please I'm so hurry
What is it answer this question ?
A disk rotates with rotational kinetic energy is 70J and the angular momentum is 30 kg.m2/s .what is the value moment of inertia the disk?
A) 6.4 kg.m2
C) 40 kg.m2
B) 2.3 kg.m2
D) 0.43 kg.m2
Answer:
The value moment of inertia the disk:
I = 6.4 kg·m²
Explanation:
Given:
Tk = 70 J
L = 30 kg·m² / s
_____________
I - ?
Rotational kinetic energy:
Tk = I·ω²/2
Angular velocity:
ω = √ (2·T / I)
Angular moment of a rotating body
L = I·ω = I·√ (2·T / I) = √ (2·T·I² / I ) = √ (2·T·I )
Raising to the second degree:
L² = 2·T·I
The value moment of inertia the disk:
I = L² / (2·T)
I = 30² / (2·70) ≈ 6.4 kg·m²
А) 6.4 кг·м²
Joe is using a crowbar to remove a tree stump. He applies 2066 J of work to the crowbar. The output work of the crowbar is 1240 J. What is the efficiency of the crowbar?
Joe is using crowbar to remove tree stump. When output and input work is given then the efficiency can be calculated as 60%.
How is efficiency defined ?Efficiency can be defined as how good a device is at transferring input energy to useful output energy . The efficiency of a device is the proportion of the energy supplied that is transferred for useful work. The efficiency is calculated as a decimal or a percentage.
Given output work as 1240 J
input work as 2066 J
Then efficiency can be calculated by using the formula :
Efficiency= (output work/ input work) * 100%
=( 1240/2066) * 100%
Efficiency = 60%
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if a cannonball were fired horizontally from a cannon atop a very high mountain what would its trajectory look like
The trajectory of the cannonball will be in parabolic motion.
A trajectory is an object that only gravity acts on. The downward force, gravity, accelerates the projectile downward. The vertical components of motion are independent of each other, so gravity does not change the object's horizontal velocity. A vertical force does not cause horizontal movement. A vertical force acting on a horizontally moving object causes the object to deviate from its linear trajectory.
When an object moving forward is affected by gravity, it falls in a parabolic arc. Since the projectile is an object affected only by gravity, the projectile's path forward from the initial thrust momentum is parabolic.
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what does power mean in terms of electrical energy
Answer:
Electricity is the rate at which electrical energy is converted into motion, heat, or other forms such as electromagnetic fields.
an engineer cuts a 1.0-m-long, 0.33-mm-diameter piece of wire, connects it across a 1.5 v battery, and finds that the current in the wire is 8.0 a. of what material is the wire made?
The resistivity rho of the piece of the wire will be 1.60 × 10⁻⁸ Ωm. So, the material is copper wire.
Copper is the electrical conductor in many categories of electrical wiring. Copper wire is used in power generation, power transmission, power distribution for telecommunications, electronics circuitry, and countless types of electrical equipment.
The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section. Its S.I. unit is ohm-metre.
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surface waves are caused primarily by what? question 6 options: frictional forces between wind and the ocean surface frictional forces at the level of the thermocline layer primarily gravitational forces of the moon large aquatic organisms breaching the ocean surface
Frictional forces between wind and the ocean surface are the primary cause of surface waves. This is the first option.
How are surface waves formed?The most common cause of waves is wind. Surface waves, also known as wind-driven waves, are formed by the frictional forces between wind and surface water. The continual disturbance creates a wave crest as wind blows across the surface of the ocean or a lake. Surface waves are found globally across the open ocean and along the coast.
There is also a type of waves called tidal waves. Tidal waves are caused by the gravitational pull of the Sun and Moon on Earth.
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a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 5.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do? a student slides her 80.0-kg desk across the level floor of her dormitory room a distance 5.00 m at constant speed. if the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do? 20.4 j 9.41 j 23.5 j 1.57 kj 15.7 j
Work she did 1.57kj.
Option d is correct
How do kinetic and static friction differ?Kinetic and Static Friction The friction that exists between two systems when they are in touch and immobile with respect to one another is known as static friction. Kinetic friction is the friction that occurs when two systems are in contact and moving in relation to one another.
F(net) = F(applied) - F(friction)
0 = F(applied) - F(friction)
F(applied) = F(friction) (1)
Work done = F(applied) *(desk travel distance)
From 1
Work done = F(friction)*(desk travel distance)
W = µNd
W = µmgd
W = (0.400)(80.0 kg)(9.81 m/s²)(2.00 m)
W =1568 J ← work done to move the desk.
W = 1.57kj
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ssm a warehouse worker exerts a constant horizontal force of magnitude 85 n on a 40 kg box that is initially at rest on the horizontal floor of the warehouse. when the box has moved a distance of 1.4 m, its speed is 1.0 m/s. what is the coefficient of kinetic friction between the box and the floor?
The coefficient of the kinetic friction between the box and the floor is μk 0.21.
Friction is the force resisting the relative motion of strong surfaces, fluid layers, and fabric elements sliding against every different. There are several sorts of friction: Dry friction is a pressure that opposes the relative lateral movement of two solid surfaces in touch.
Calculation:-
Given,
mass = 40 Kg
Applied force F = 85 N
initial velocity u = 0 (rest)
distance moved = 1.4 meter
Final velocity = 1 m/s
coefficient of kinetic friction =?
Normal force = N = mg = 400 N
v² = u² +2as
a = v²/2s
= 1/2×1.4
= 0.36 m/s²
F = μkN
μk = F/N
= 85/400
0.21
Friction is a shape of touch pressure. It exists between the surfaces which are in touch. The frictional force relies upon on the person of the surface in contact. The rougher the floor, the greater the friction is involved. The frictional force is proportional to the urgent pressure, this is the weight of the body. it's far impartial of the place of the touch.
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